Speaker(s)Ning Zhang (Huazhong (Central China) University of Science and Technology)Description No Description

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Gardner and Golubyatnikov asked whether two continuous functions on the sphere coincide up to reflection in the origin if their restrictions to any great circle coincide after some rotation. In this talk we will discuss two modifications of this problem. Let K and L be convex bodies in R3 such that their sections by cones or non-central planes are directly congruent. We will show that if their boundaries are of class C2, then K and L coincide.